A reinforced multilayer material includes a mesh material covered on at least one side, and possibly both, by a layer of a resinous film material. The mesh material includes filaments that intersect one another, at least some of the filaments being composite filaments having a carrier portion of a relatively high melting point and a bonding portion of a relatively low melting point, the bonding portion of each composite filament being thermally bonded to other filaments at least some points of intersection. The multilayer material has a mass per unit area of less than 9.0 oz/yd2 and at least one of a) a bursting strength to mass per unit area ratio of at least 9.0 lbs./(oz/yd2), where bursting strength is measured in accordance with ASTM-D37 86 and b) a breaking elongation of at least 5% in the warp direction when breaking elongation is measured in accordance with ASTM-5034. A bag is provided that is made at least in part from a multilayer material having at least some of the characteristics described above.